DeBrincat made it 2-0 at 4:02 with a power-play goal near the right post after Patrick Kane stole the puck from Pesce in the slot. DeBrincat has scored 19 goals in 33 games after scoring 18 in 70 games last season.
"We gave them two right away to start the second," Hurricanes coach Rod Brind'Amour said. "We just said, 'Here you go, here's two goals.' Just very, very frustrating because it's tough in the NHL to come back when you just give teams goals. It's one thing to make them earn them, but we just said, 'Here you go.' So that was frustrating.
"It just took the sails out of us a little bit from there on. It's not like we played a poor game, we just had a couple of hiccups there that cost us."
Svechnikov made it 2-1 at 15:41 of the second when his deflection of Skjei's shot from along the left wall deflected off Blackhawks defenseman Wyatt Kalynuk's left leg. Vincent Trocheck, who missed the previous eight games with an upper-body injury, had an assist.
"It seemed like we were able to pack it in and understand that every puck and battle that you're in is a valuable one to the game and the team," Blackhawks defenseman Connor Murphy said. "It seemed like we showed that a little more tonight. They got their looks, but as it got to crunch time of the game later on, it seemed like guys were very desperate to help each other out in the battles."